On the smallest sets blocking simple perfect matchings in a convex geometric graph

Chaya Keller, Micha A. Perles

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

In this paper we present a complete characterization of the smallest sets which block all the simple perfect matchings in a complete convex geometric graph on 2m vertices. In particular, we show that all these sets are caterpillar graphs with a special structure, and that their total number is m·2m-1.

Original languageEnglish
Pages (from-to)465-484
Number of pages20
JournalIsrael Journal of Mathematics
Volume187
Issue number1
DOIs
StatePublished - 1 Jan 2012
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics

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